On the Dynamic Control of Matching Queues

Published Online:https://doi.org/10.1287/13-SSY097

References

  • Ata, B. and Kumar, S., Heavy traffic analysis of open processing networks with complete resource pooling: Asymptotic optimality of discrete review policies. Ann. Appl. Prob., 2005. MR2115046Google Scholar
  • Bell, S. L. and Williams, R. J., Dynamic scheduling of a parallel server system in heavy traffic with complete resource pooling: Asymptotic optimality of a threshold policy. Electronic Journal of Probability, 10(33):1044–1115, 2005. MR2164040Google Scholar
  • Doğru, M. K., Reiman, M. I., and Wang, Q., A stochastic programming based inventory policy for assemble-to-order systems with application to the W model. Operations Research, 58(4):849–864, 2010. MR2683480LinkGoogle Scholar
  • Harrison, J. M., Assembly-like queues. Journal of Appl. Prob., 10:354–367, 1973. MR0356276Google Scholar
  • Harrison, J. M., The BIGSTEP approach to flow management in stochastic processing networks. In F. Kelly, S. Zachary, and I. Ziedins, editors, Stochastic Networks: Theory and Applications, pages 57–90. Oxford University Press, 1996.Google Scholar
  • Harrison, J. M., Correction: Brownian models of open processing networks: Canonical representation of workload. Ann. Appl. Prob., 16(3):1703–1732, 2006. MR2260079Google Scholar
  • Harrison, J. M. and Lopez, M. J., Heavy traffic resource pooling in parallel-server systems. Queueing Systems, 33:339–368, 1999. MR1742575Google Scholar
  • Harrison, J. M. and Van Mieghem, J. A., Dynamic control of brownian networks: State space collapse and equivalent workload formulations. Ann. Appl. Prob., 7:747–771, 1996. MR1459269Google Scholar
  • Horvath, L., Strong approximation of renewal processes. Stochastic Processes and Their Applications, 18(1):127–138, 1984. MR0757352Google Scholar
  • Kang, W. N., Kelly, F. P., Lee, N. H., and Williams, R. J., State space collapse and diffusion approximation for a network operating under a fair bandwidth sharing policy. Ann. Appl. Prob., 19(5):1719–1780, 2009. MR2569806Google Scholar
  • Mandelbaum, A. and Stolyar, S., Scheduling flexible servers with convex delay costs: Heavy-traffic optimality of the generalized cμ-rule. Operations Research, 52:836–855, 2004. MR2104141LinkGoogle Scholar
  • Plambeck, E. L. and Ward, A. R., Optimal control of a high-volume assemble-to-order system. Mathematics of Operations Research, 31(3):453–477, 2006. MR2254418LinkGoogle Scholar
  • Reiman, M. I. and Wang, Q., Asymptotically optimal inventory control for assemble-to-order systems with identical lead times, 2013. Working Paper.Google Scholar
  • Revuz, D. and Yor, M., Continuous Martingales and Brownian Motion, volume 293. Springer Verlag, 1999. MR1725357Google Scholar
  • Song, J. S. and Zipkin, P., Supply chain operations: Assemble-to-order and configure-to-order systems. In Handbooks in Operations Research and Management Science, volume XXX, pages 561–593, 2003.Google Scholar
INFORMS site uses cookies to store information on your computer. Some are essential to make our site work; Others help us improve the user experience. By using this site, you consent to the placement of these cookies. Please read our Privacy Statement to learn more.